Journal of Lie Theory

no. 4
Reducibility of Generic Unipotent Standard Modules
Journal of Lie Theory, Volume 21 (2011) no. 4, pp. 837-846
Using Lusztig's geometric classification, we find the reducibility points of a standard module for the affine Hecke algebra, in the case when the inducing data is generic. This recovers the known result of Muic and Shahidi for representations of split p-adic groups with Iwahori-spherical Whittaker vectors. We also give a necessary (but insufficient) condition for reducibility in the non-generic case.
DOI: 10.5802/jolt.651
Classification: 22E50
Keywords: Whittaker models, unipotent representations, graded affine Hecke algebra 
@article{JOLT_2011_21_4_a4,
     author = {D. Barbasch and D. Ciubotaru},
     title = {Reducibility of {Generic} {Unipotent} {Standard} {Modules}},
     journal = {Journal of Lie Theory},
     pages = {837--846},
     year = {2011},
     volume = {21},
     number = {4},
     doi = {10.5802/jolt.651},
     zbl = {1232.22007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.651/}
}
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%A D. Ciubotaru
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D. Barbasch; D. Ciubotaru. Reducibility of Generic Unipotent Standard Modules. Journal of Lie Theory, Volume 21 (2011) no. 4, pp. 837-846. doi: 10.5802/jolt.651

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